Algebraic monodromy groups of vector bundles on p-adic curves

Abstract

C. Deninger and A. Werner (2005, 2007) developed a partial p-adic analogue of the classical Narasimhan-Seshadri correspondence between vector bundles and representations of the fundamental group. We use this theory to prove a connectedness result for the algebraic monodromy groups of vector bundles on a smooth projective curve. We apply this result to the restriction of certain stable vector bundles on the projective space and compute the Tannaka dual groups in this case.